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[" (ii) Show that all positive odd integ...

[" (ii) Show that all positive odd integral powers of a skew symmetric matrix are skew symmtric while "],[" positive even integral powers are symmetric."]

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STATEMENT -1 All positive odd integral powers of a skew - symmetric matrix are symmetric. STATEMENT-2 : All positive even integral powers of a skew - symmetric matrix are symmetric. STATEMENT-3 If A is a skew - symmetric matrix of even order then |A| is perfect square